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222412233442344 = 2331117491100930943
BaseRepresentation
bin110010100100100001100010…
…001010110000010000101000
31002011111101211221220001020020
4302210201202022300100220
5213123000223230123334
62105010434114000440
764563516324313251
oct6244414212602050
91064441757801206
10222412233442344
116495a5535598a0
1220b40b92b76120
1397144caa72b9a
143cccb4951bb28
151aaa6bc7cee49
hexca48622b0428

222412233442344 has 128 divisors (see below), whose sum is σ = 643567996846080. Its totient is φ = 63303886822400.

The previous prime is 222412233442237. The next prime is 222412233442387. The reversal of 222412233442344 is 443244332214222.

It is a super-3 number, since 3×2224122334423443 (a number of 44 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222412233442296 and 222412233442305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48261864 + ... + 52669079.

It is an arithmetic number, because the mean of its divisors is an integer number (5027874975360).

Almost surely, 2222412233442344 is an apocalyptic number.

222412233442344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

222412233442344 is an abundant number, since it is smaller than the sum of its proper divisors (421155763403736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222412233442344 is a wasteful number, since it uses less digits than its factorization.

222412233442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100931471 (or 100931467 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 42.

Adding to 222412233442344 its reverse (443244332214222), we get a palindrome (665656565656566).

The spelling of 222412233442344 in words is "two hundred twenty-two trillion, four hundred twelve billion, two hundred thirty-three million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 491 561 748 982 1122 1473 1496 1964 2244 2946 3928 4488 5401 5892 8347 10802 11784 16203 16694 21604 25041 32406 33388 43208 50082 64812 66776 91817 100164 129624 183634 200328 275451 367268 550902 734536 1101804 2203608 100930943 201861886 302792829 403723772 605585658 807447544 1110240373 1211171316 1715826031 2220480746 2422342632 3330721119 3431652062 4440961492 5147478093 6661442238 6863304124 8881922984 10294956186 13322884476 13726608248 18874086341 20589912372 26645768952 37748172682 41179824744 49557093013 56622259023 75496345364 99114186026 113244518046 148671279039 150992690728 198228372052 226489036092 297342558078 396456744104 452978072184 545128023143 594685116156 842470581221 1090256046286 1189370232312 1635384069429 1684941162442 2180512092572 2527411743663 3270768138858 3369882324884 4361024185144 5054823487326 6541536277716 6739764649768 9267176393431 10109646974652 13083072555432 18534352786862 20219293949304 27801529180293 37068705573724 55603058360586 74137411147448 111206116721172 222412233442344